Q19. - Algebra 1

Question

Use the Distributive Property to rewrite each expression. Then evaluate.

4 (7 - 2)

Step-by-Step Solution

Answer

The value of the expression $4\left(7-2\right)$ is $\mathbf{20}$.

Step 1. Use the distributive property.

The distributive law of multiplication over addition or subtraction states that, $a\left(b\pm c\right)=ab\pm ac$.

So, the values of the real number  should be as follows:

$\begin{array}{l}a=4\\ b=7\\ c=2\end{array}$

Step 2. Rewrite the expression.

Use the distributive property to expand the expression further as shown below:

$4\left(7-2\right)=\left(4\right)7-\left(4\right)2$

Step 3. Evaluate the expression.

To simplify further, multiply the numbers and solve further as shown below:

$\begin{array}{l}4\left(7-2\right)=\left(4\right)7-\left(4\right)2 \left[Multiply\right]\\ =28-8 \left[Subtract\right]\\ =20\end{array}$